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Finding the Fourth Proportional to 2,470.47, 3,707.08 and 1,010.65

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Solution

The fourth proportional to 2,470.47, 3,707.08 and 1,010.65 is: 1,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.47 : 3,707.08 = 1,010.65 : x
  2. Step 2: Convert to fraction form
    2,470.47/3,707.08 = 1,010.65/x
  3. Step 3: Cross multiply
    2,470.47x = 3,707.08 × 1,010.65
  4. Step 4: Simplify right side
    2,470.47x = 3,746,567.41
  5. Step 5: Solve for x
    x = 3,746,567.41/2,470.47
  6. Step 6: Final answer
    x = 1,516.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.